Thermal Conductivity of Rotator Chains with a Double-Barrier Interaction Potential

2021 ◽

Vol 63 (7) ◽

pp. 975

Author(s):

А.П. Клинов ◽

М.А. Мазо ◽

В.В. Смирнов

Keyword(s):

Thermal Conductivity ◽

Heat Conductivity ◽

Normal Modes ◽

Double Barrier ◽

One Dimensional ◽

Internal Barrier ◽

Local Fluctuations ◽

Small Height ◽

Coefficient Of Thermal Conductivity ◽

Height Dependence

The thermal conductivity of a one-dimensional chain of rotators with a double-barrier interaction potential of nearest neighbors has been studied numerically. We show that the height of the "internal" barrier, which separates topologically nonequivalent degenerate states, significantly affects the temperature dependence of the heat conductivity of the system. The small height of this barrier leads to the dominant contribution of the non-linear normal modes at low temperatures. In such a case the coefficient of thermal conductivity turns out to be the risen function of the temperature. The growth of the coefficient is limited by local fluctuations corresponding to jumps over the barriers. At higher values of the internal barrier height, dependence of the heat conductivity on temperature is similar to that of classical rotators.

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1996 Noranda Award Lecture Thermal properties of solids: Étude in three-part anharmony

Canadian Journal of Chemistry ◽

10.1139/v96-216 ◽

1996 ◽

Vol 74 (11) ◽

pp. 1916-1921 ◽

Cited By ~ 4

Author(s):

Mary Anne White

Keyword(s):

Thermal Conductivity ◽

Thermal Expansion ◽

Thermal Properties ◽

Harmonic Oscillator ◽

Key Words ◽

Intermolecular Interactions ◽

Interaction Potential ◽

Experimental Investigations ◽

Molecular Solids ◽

Starting Point

The harmonic oscillator is a useful starting point for understanding many intermolecular interactions, and it successfully predicts many properties. However, anharmonic terms in the interaction potential are responsible for several observed phenomena. This review summarizes our recent experimental investigations of three thermal properties of molecular solids that result from anharmonic intermolecular interactions, viz. thermal expansion, Grüneisen parameters, and thermal conductivity. Key words: anharmonicity, thermal expansion, Grüneisen parameter, thermal conductivity.

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Die Wärmeleitfähigkeiten von reinem Para-und Ortho-Wasserstoffgas und ihren Gemischen bei 21 °K

Zeitschrift für Naturforschung A ◽

10.1515/zna-1970-0217 ◽

1970 ◽

Vol 25 (2) ◽

pp. 247-251 ◽

Cited By ~ 2

Author(s):

K. H. Müller ◽

W. Eichenauer ◽

K. Heinzinger ◽

A. Klemm

Keyword(s):

Thermal Conductivity ◽

Interaction Potential ◽

Molar Fraction ◽

Thermal Conductivities

Abstract Measurements on gases at 21 °K in the whole concentration range from pure p-H2 to pure o-H2 result in the equationλ/λp = 1-3.61·10-3γ-5.66·10-3y2.λ and λ are the thermal conductivity coefficients of a mixture with the molar fraction γ of o-H2 and of pure p-H2 respectively. Existing theories assuming a spherical interaction potential can account for only about half the differences in thermal conductivities found experimentally.

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